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Finding the Fourth Proportional to 498,884.75, 748,333.61 and 166,460.75

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Solution

The fourth proportional to 498,884.75, 748,333.61 and 166,460.75 is: 249,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,884.75 : 748,333.61 = 166,460.75 : x
  2. Step 2: Convert to fraction form
    498,884.75/748,333.61 = 166,460.75/x
  3. Step 3: Cross multiply
    498,884.75x = 748,333.61 × 166,460.75
  4. Step 4: Simplify right side
    498,884.75x = 124,568,173,138.50
  5. Step 5: Solve for x
    x = 124,568,173,138.50/498,884.75
  6. Step 6: Final answer
    x = 249,693.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.